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Finding the Fourth Proportional to 520,886, 718,827 and 282,422

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Solution

The fourth proportional to 520,886, 718,827 and 282,422 is: 389,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,886 : 718,827 = 282,422 : x
  2. Step 2: Convert to fraction form
    520,886/718,827 = 282,422/x
  3. Step 3: Cross multiply
    520,886x = 718,827 × 282,422
  4. Step 4: Simplify right side
    520,886x = 203,012,558,994
  5. Step 5: Solve for x
    x = 203,012,558,994/520,886
  6. Step 6: Final answer
    x = 389,744.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.